| Asymptotic behavior of the shock solution for a class of nonlinear equations |
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| 作者姓名： | MO Jiaqi * ZHU Jiang and WANG Hui |
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| 作者单位： | 1. Department of Mathemtics，Anhui Normal University，Wuhu 241000，China; 2. ICEES，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100029，China; 3. National Natural Science Foundation of China，Beijing 100085，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo .90 2 110 0 4)andthe“HundredTalentsProject”ofChineseAcademyofSciences |
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| 摘 要： | Recently thenonlinearsingularly perturbedproblemhasbeeninvestigatedintheinternationala cademiccircles1] .Approximationmethodshavebeendevelopedandrefined ,includingthemethodofaver aging ,boundarylayermethod ,matchedasymptoticexpansion ,andmultiplescales .ManyscholarssuchasO’MalleyJr .2 ] ,Boh啨3] ,Butuzovetal.4 ] ,Kel ley5] ,andMizoguchietal.6 ] havedoneagreatdealofwork .UsingthemethodofdifferentialinequalityandothersMoconsideredalsoaclassofsingularlyperturbednonlinearboundaryvaluepro…
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Asymptotic behavior of the shock solution for a class of nonlinear equations |
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| MO Jiaqi,ZHU Jiang,WANG Hui.Asymptotic behavior of the shock solution for a class of nonlinear equations[J].Progress in Natural Science,2003,13(10). |
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| Authors: | MO Jiaqi ZHU Jiang WANG Hui |
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| Abstract: | The high precision approximation of the shock solution for a class of nonlinear problems is obtained using a simple method. |
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| Keywords: | nonlinear equation shock boundary layer |
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